Find the missing side lengths, put radicals in the simplest form

Answer:
u = 2[tex]\sqrt{5}[/tex] v = [tex]\sqrt{15}[/tex]
Step-by-step explanation:
longer leg of a 30-60-90 triangle is shorter leg times [tex]\sqrt{3}[/tex] and the hypotenuse of a 30-60-90 triangle is shorter leg times 2.
So, the length of the shorter leg = [tex]\sqrt{5}[/tex]
Therefore, u = 2[tex]\sqrt{5}[/tex] and v = [tex]\sqrt{3} \sqrt{5} = \sqrt{15}[/tex]